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Journal of Business Economics

, Volume 89, Issue 5, pp 599–626 | Cite as

Inheritance tax planning with uncertain future payroll expenses: an analytical solution to the optimal choice between full and standard exemption

  • Markus Diller
  • Thomas Späth
  • Johannes LorenzEmail author
Original Paper
  • 57 Downloads

Abstract

Under the German Inheritance Tax and Gift Tax Act, the transfer of business assets can be exempted from taxation up to 100%. However, this exemption depends on the evolution of the company’s payroll, which is highly uncertain. We model the uncertain nature of payroll evolution using a Geometric Brownian motion. We obtain closed-form solutions for the expected effective exemption and for the expected effective tax rate. We find that the uncertainty effect is most pronounced for moderate negative and positive growth rates. Furthermore, higher uncertainty reduces the value of the effective tax exemption. Also, we find that the (partially progressive) German inheritance tax function by trend promotes standard exemption. The results enable tax planners to make an optimal choice between standard or full exemption and allow for calculating the expected tax burden.

Keywords

Inheritance tax Preferential tax treatment Brownian motion 

JEL Classification

C61 D81 H30 K34 

Notes

Acknowledgements

We thank the editor and two anonymous referees for insightful comments that have significantly improved this paper. Also, we want to thank Hans-Georg Schwarz for helpful comments and for translating an earlier version of this paper into English. All errors are our own.

References

  1. Atkinson AB, Stiglitz JE (1980) Lectures on public economics. Mc Graw-Hill, New YorkGoogle Scholar
  2. Diller M, Löffler A (2012) Inheritance tax and valuation. World Tax J 4(3):249–258Google Scholar
  3. Fenton LF (1960) The sum of log-normal probability distributions in scatter transmission systems. IRE Trans Commun Syst 8(1):57–67CrossRefGoogle Scholar
  4. Franke B, Simons D, Voeller D (2016) Who benefits from the preferential treatment of business property under the german inheritance tax? J Bus Econ 86:997–1041CrossRefGoogle Scholar
  5. Franke SF (1983) Theorie und Praxis der indirekten Progression. Nomos, Baden-BadenGoogle Scholar
  6. Hull JC (2009) Options, futures and other derivatives, 7th edn. Pearson Education, New JersyGoogle Scholar
  7. Jakobsson U (1974) On the measurement of the degree of progression. J Public Econ 5:161–168CrossRefGoogle Scholar
  8. Mitchell RL (1968) Permanence of the log-normal distribution. J Opt Soc Am 58(9):1267–1272CrossRefGoogle Scholar
  9. Musgrave RA, Thin T (1948) Income tax progression. J Polit Econ 56(6):498–514CrossRefGoogle Scholar
  10. Scholten G, Korezkij L (2009) Nachversteuerung nach §§ 13a und 19a erbstg als risiko- und entscheidungsfaktor. DStR 47:991–1002Google Scholar
  11. Simons D, Voeller D, Corsten M (2012) Erbschaftsteuerliche Verschonungsregeln für das Betriebsvermögen—ein theoretischer ansatz zur Steuerplanung. Schmalenbachs Z Forsch 64:2–36CrossRefGoogle Scholar
  12. Turnbull SM, Wakeman LM (1991) A quick algorithm for pricing european average options. J Financ Quant Anal 26(3):377–389CrossRefGoogle Scholar
  13. von Weizsäcker R (1993) A theory of earnings distribution. Cambridge University Press, CambridgeCrossRefGoogle Scholar

Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.University of PassauPassauGermany

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